Answer:
D.
Step-by-step explanation:
The point must be a critical point but it could be a saddle point. If the point is a saddle point it would not be neither a maximum nor a minimum. So it must be critical but it does not follow directly that it has a local maximum or local minimum.
Therefore D. (a,b) would be a candidate, but is not necessarily a maximum or minimum. It could be a saddle.
Step 1) Find common denominator. In this case it was 28.
Step 2) Multiply 1/4 by seven to get 7/28 and then 2/7 by 4 to get 14/28.
Step 3) Add numerators: 7+14 to get 21
Step 4) Simpify your new added Fraction 21/28= 3/4
Your answer is 3/4
Please let me know if you would like further explanation (:
Answer:
$0.50
Step-by-step explanation:
Each trip transports 50 packs at 12 kg each, for a total of 600 kg. That trip nets $300 in income.
Lennox gets paid ($300)/(600 kg) = $0.50/kg, or 50¢ for 1 kg of apples
On a cube there are 6 sides. There are three odd numbers and one 4, so the probability of rolling these numbers is 4/6 which is 2/3. To get the probability of it from two rolls, we multiply it by itself once because it is being rolled once more. 2/3 x 2/3 is 4/9, so the probability of rolling an odd number or four in two roles is 4/9.
Volume for a cone is 1/3 pi * r^2*h, where r is radius and h is height.
We have diameter = 1/2 radius. Thus, radius = 1.5in. We also have volume is 12 in.
Using formula for volume of a cone and plugging in what we know, we have
12 = 1/3*pi*(1.5)^2*h, were solving for h.
To get, h= (12*3)/(pi*(1.5)^2), which is approximately 5.0931in, 5 inches
